Using contrapositive method prove that, if `n^(2)` is an even integer , then n is also an even integer.

Write the general form of an even integer

Write the contrapositive of the statement : "If n is a prime number, then n is even".

Let a and b be integers By the law of contrapositive prove that if ab is even then either a is even or b is even.

Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer, where n is a positive integer. (JEE-2004]

Write the set of all integers whose cube is a even integer.

For any positive integer n prove that n^(3)-n is divisible by 6

Write the converse and contrapositive of implications: if n is an even integer then it is divisible by 2

For any positive integer n,prove that n^(3)-n is divisible by 6

If n is an even positive integer, then a^(n)+b^(n) is divisible by

Prove that quad 2^(n)>n for all positive integers n.